A \(k\times j\) -rough Heyting algebra is a Heyting algebra endowed with a finite family of unary operations known as projection maps. The purpose of this paper is to define and investigate a new (equational) class of algebras called \(k\times j\) -rough pseudocomplemented distributive lattices as an abstraction from \(k\times j\) -rough Heyting algebras.
